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11001089288 = 237318817193
BaseRepresentation
bin10100011111011011…
…10100110100001000
31001101200111020110102
422033231310310020
5140012234324123
65015343304532
7536421500420
oct121755646410
931350436412
1011001089288
114735912232
1221702ab148
1310642193b7
147650b5480
15445c07028
hex28fb74d08

11001089288 has 64 divisors (see below), whose sum is σ = 24365214720. Its totient is φ = 4556851200.

The previous prime is 11001089287. The next prime is 11001089299. The reversal of 11001089288 is 88298010011.

It is a happy number.

11001089288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (11001089287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1525820 + ... + 1533012.

It is an arithmetic number, because the mean of its divisors is an integer number (380706480).

Almost surely, 211001089288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11001089288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12182607360).

11001089288 is an abundant number, since it is smaller than the sum of its proper divisors (13364125432).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11001089288 is a wasteful number, since it uses less digits than its factorization.

11001089288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8118 (or 8114 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 38.

Adding to 11001089288 its reverse (88298010011), we get a palindrome (99299099299).

The spelling of 11001089288 in words is "eleven billion, one million, eighty-nine thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 14 28 31 56 62 124 217 248 434 868 881 1736 1762 3524 6167 7048 7193 12334 14386 24668 27311 28772 49336 50351 54622 57544 100702 109244 191177 201404 218488 222983 382354 402808 445966 764708 891932 1529416 1560881 1783864 3121762 6243524 6337033 12487048 12674066 25348132 44359231 50696264 88718462 177436924 196448023 354873848 392896046 785792092 1375136161 1571584184 2750272322 5500544644 11001089288